Explanation:
The slope-intercept form of the equation of a line is:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
In this graph, the y-intercept is -60 (which is the point where the line intersects the y-axis).
For now we have:
[tex]y=mx-60[/tex]
To find the slope we need one more point on the line. We can see that the line intersects the x-axis at x = 60, so the intersection points with the axis are (0, -60) the y-intercept and (60, 0) the x-intercept.
The formula for the slope of a line that has points (x1, y1) and (x2, y2) is:
[tex]m=\frac{y_1-y_2}{x_1-x_2}[/tex]
For this line, using the intercept points:
[tex]m=\frac{0-(-60)}{60-0}=\frac{60}{60}=1[/tex]
The slope is 1
Answer:
The equation is y = x - 60
